the integral from 0-30 of (82+4sin(t/2)dt = 2472 cars pass through the intersection
b. Is traffic flow inc or dec at t=7? give reason.
F'(t) = 2cos(t/2) = 2cos (7/2) <0. Therefore, traffic flow is decreasing b/c F'(t) is negative.
c. What is the average value of the traffic flow over the time interval 10 < or equal to t < or equal to 15? Units of measure?
(1/5) the integral from 10 to 15 of (82+4sin(t/2)dt = 81.999 cars per minute
d. What is the avg rate of change of the traffic flow from the interval 10-15? indicate units of measure.
[82+4sin(15/2)-(82+4sin(10/2))]/5 cars per minute. I dont have a calculator right now but u can figure that out